TSTP Solution File: SCT021-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT021-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:00:36 EDT 2022
% Result : Timeout 300.10s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT021-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jul 2 05:41:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.96/1.33 *** allocated 10000 integers for termspace/termends
% 0.96/1.33 *** allocated 10000 integers for clauses
% 0.96/1.33 *** allocated 10000 integers for justifications
% 0.96/1.33 *** allocated 15000 integers for termspace/termends
% 0.96/1.33 *** allocated 22500 integers for termspace/termends
% 0.96/1.33 Bliksem 1.12
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Automatic Strategy Selection
% 0.96/1.33
% 0.96/1.33 Clauses:
% 0.96/1.33 [
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 0.96/1.33 'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y
% 0.96/1.33 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( W, X, U ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( Z, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( hAPP( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T )
% 0.96/1.33 , 'tc_prod'( Z, T ) ), U ), Z, T ), hAPP( 'c_Set_Oinsert'( X, Z ),
% 0.96/1.33 'c_Relation_ODomain'( U, Z, T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Z, T ), X ), Y ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), Z ) )
% 0.96/1.33 , hAPP( 'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), T ) ), hAPP( 'c_Set_Oinsert'( X, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), T ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( 'c_Set_Oinsert'( Y, X ), Z
% 0.96/1.33 ), X ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ),
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( Z, X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, U, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 Z, 'c_COMBB'( 'c_Set_Oinsert'( X, Y ), T, 'tc_fun'( Y, 'tc_bool' ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ), U ), U, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Z, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Z, Y ) ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), Z ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 T, 'c_COMBB'( 'c_Relation_OImage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 , 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 0.96/1.33 , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.96/1.33 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_Relation_ORange'( X, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_ORange'( T, Y, Z ) ), 'c_Relation_ORange'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 0.96/1.33 ), T ), Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.33 hAPP( 'c_Set_Oinsert'( T, Z ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.96/1.33 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( W, Y, Z ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.33 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.33 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.96/1.33 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( W, T, U ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), T,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ), ~(
% 0.96/1.33 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Z, Y ), T ), 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( 't_a', X ) ),
% 0.96/1.33 Z ), 'v_x' ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y
% 0.96/1.33 , 'v_x' ), X ), hAPP( Z, 'v_x' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_Relation_ODomain'( X, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_ODomain'( T, Y, Z ) ), 'c_Relation_ODomain'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 0.96/1.33 ), T ), Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.96/1.33 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.96/1.33 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Y ), Y ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.33 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.96/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), Y, Z ), U ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 'c_Relation_OImage'(
% 0.96/1.33 X, Y, Z ), U ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( T
% 0.96/1.33 , Y, Z ), U ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), U ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Z ), U ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) )
% 0.96/1.33 , hAPP( 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ), T ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Z, Y ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ), U, 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.96/1.33 'c_COMBK'( U, 'tc_fun'( Z, 'tc_bool' ), Y ), Y, Z ), 'tc_fun'( 'tc_prod'(
% 0.96/1.33 Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, X ), T ) ) ), =( Y, Z ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, X ), Y ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, X ), T ) ) ), =( Z, T ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oimage'( X
% 0.96/1.33 , Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oimage'( X, U, Z, T ) ),
% 0.96/1.33 'c_Set_Oimage'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), U ), Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), X ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), Z ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y ), ~(
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z ), ~(
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), X ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), T, X ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), T, X ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), T, X ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ), X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y, hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 Z, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ), X ), Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), X ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T ), Z, U ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Set_Oimage'( X, Y, Z, U ), 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.96/1.33 X, T, Z, U ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Z ), U ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ) ) ), 'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ) ), ~( 'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_Product__Type_OSigma'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), T, Y, U ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'( X, T, Y, U ),
% 0.96/1.33 'tc_fun'( 'tc_prod'( Y, U ), 'tc_bool' ) ), 'c_Product__Type_OSigma'( Z,
% 0.96/1.33 T, Y, U ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.33 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.96/1.33 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.33 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.96/1.33 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), Z ), Y ), ~( 'c_lessequals'( 'c_Relation_Orel__comp'(
% 0.96/1.33 X, Z, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.96/1.33 ), X ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), U ), Y ), ~( 'c_Relation_Orefl__on'( Z
% 0.96/1.33 , U, Y ) ), ~( 'c_Relation_Orefl__on'( X, T, Y ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ), X ), Y ), Y ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Y ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ) ), X ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Product__Type_OSigma'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.96/1.33 'c_COMBK'( hAPP( 'c_Set_Oinsert'( T, U ), W ), 'tc_fun'( U, 'tc_bool' ),
% 0.96/1.33 Y ), Y, U ), hAPP( 'c_Set_Oinsert'( 'c_Pair'( X, T, Y, U ), 'tc_prod'( Y
% 0.96/1.33 , U ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Product__Type_OSigma'( Z, 'c_COMBK'( hAPP( 'c_Set_Oinsert'( T, U ), W
% 0.96/1.33 ), 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ), 'tc_fun'( 'tc_prod'( Y, U ),
% 0.96/1.33 'tc_bool' ) ), 'c_Product__Type_OSigma'( hAPP( 'c_Set_Oinsert'( X, Y ), Z
% 0.96/1.33 ), 'c_COMBK'( W, 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ) ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Z ), hAPP( 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( U, Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ), X ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), Y ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Oacyclic'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.96/1.33 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), Y ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ) ), X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), Y ), ~(
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), Z ) ),
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), Z ), ~(
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), X ), ~( 'c_lessequals'( Z, X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ), Z ), Z ) ), 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 0.96/1.33 , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), U ), U,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z
% 0.96/1.33 , T, U, 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T, 'tc_fun'( Y, 'tc_bool' ), 'tc_fun'( Y, 'tc_bool' ), U ), U,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.96/1.33 , U ), =( X, T ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.96/1.33 , T ), =( X, T ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( X
% 0.96/1.33 , U ), =( Z, U ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( T, Y ), hAPP( 'c_Set_Oinsert'( U, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), =( Z
% 0.96/1.33 , T ), =( Z, U ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.96/1.33 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.96/1.33 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.33 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.96/1.33 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.96/1.33 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.96/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Y, X ), Z ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Z, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ), ~( hBOOL( 'c_in'( Z, X, Y ) ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z, U ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( hAPP( X, Y ), U ), 'c_Set_Oimage'( X, T, Z, U ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), Y, Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.96/1.33 Y, Z ), 'tc_fun'( 'tc_prod'( Z, Y ), 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_Oconverse'( T, Y, Z ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y, X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Z, X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), Y, X ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Product__Type_OSigma'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.96/1.33 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ), 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, U ), 'tc_bool' ) ), 'c_Product__Type_OSigma'( Z, 'c_COMBK'(
% 0.96/1.33 T, 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ) ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 0.96/1.33 'c_Set_Oinsert'( Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ), U ), U, 'tc_fun'( Z, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y
% 0.96/1.33 , Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, U,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.96/1.33 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.96/1.33 [ =( 'c_Product__Type_OSigma'( hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ),
% 0.96/1.33 Y ), Y, U ), hAPP( 'c_HOL_Ominus__class_Ominus'( 'c_Product__Type_OSigma'(
% 0.96/1.33 X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ), 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, U ), 'tc_bool' ) ), 'c_Product__Type_OSigma'( Z, 'c_COMBK'(
% 0.96/1.33 T, 'tc_fun'( U, 'tc_bool' ), Y ), Y, U ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), Y, Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Y,
% 0.96/1.33 Z ), 'tc_fun'( Z, 'tc_bool' ) ), 'c_Relation_ORange'( T, Y, Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), Z ),
% 0.96/1.33 ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Y ), Y ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), X ), X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, X ), Y ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), X ) ), Z ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ) ), X ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Z ), X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 Z, 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), Z ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ), hAPP( 'c_Set_Oinsert'( Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), =( X, Z
% 0.96/1.33 ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), X ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), X ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( hAPP( 'c_Set_Oinsert'(
% 0.96/1.33 X, Z ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Product__Type_OSigma'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), T, Y, U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Product__Type_OSigma'( X, T, Y, U ), 'tc_fun'( 'tc_prod'( Y, U ),
% 0.96/1.33 'tc_bool' ) ), 'c_Product__Type_OSigma'( Z, T, Y, U ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), T ) ), ~( hBOOL( hAPP(
% 0.96/1.33 Z, T ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.96/1.33 hBOOL( 'c_in'( Y, X, Z ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.96/1.33 , Z ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( T, Z ), Y ),
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.96/1.33 hBOOL( 'c_in'( Y, X, Z ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , hAPP( 'c_Set_Oinsert'( T, Z ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL(
% 0.96/1.33 'c_in'( T, X, Z ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Z, Y ), T ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ), hBOOL( 'c_in'( Z, X, Y ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), T ) ), hBOOL( 'c_in'( X, T, Y ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), X ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 X, 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), U, Y, Z, W ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.33 , U, Y, Z, W ), 'tc_fun'( 'tc_prod'( Y, W ), 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_Orel__comp'( T, U, Y, Z, W ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( X, hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( 'tc_prod'( Z,
% 0.96/1.33 T ), 'tc_bool' ) ), U ), W, Z, T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.33 , Y, W, Z, T ), 'tc_fun'( 'tc_prod'( W, T ), 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_Orel__comp'( X, U, W, Z, T ) ) ) ],
% 0.96/1.33 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( 't_a', X ) ), Z ), 'v_x' ),
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), X ), hAPP( Z, 'v_x'
% 0.96/1.33 ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, X ), Z ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ), T, X ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X ), T ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( Y, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, X ), Z ), X ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), T ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), Z ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 Z, 'tc_fun'( Y, 'tc_bool' ) ), X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), Y, Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.96/1.33 , Z ), 'tc_fun'( Y, 'tc_bool' ) ), 'c_Relation_ODomain'( T, Y, Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( 'c_Set_Oinsert'( X, Y
% 0.96/1.33 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.96/1.33 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), X ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.96/1.33 hAPP( 'c_Set_Oinsert'( Z, X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ) ) ), X ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), Z ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.96/1.33 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), Z ), Y ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP( 'c_Set_Oinsert'( X, Y ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ),
% 0.96/1.33 hBOOL( 'c_in'( X, T, Y ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), T,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( T, 'tc_bool' )
% 0.96/1.33 ), X ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T ), Y ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( hAPP( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T )
% 0.96/1.33 , 'tc_prod'( Z, T ) ), U ), Z, T ), hAPP( 'c_Set_Oinsert'( Y, T ),
% 0.96/1.33 'c_Relation_ORange'( U, Z, T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 Z ), 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), Z ),
% 0.96/1.33 hBOOL( 'c_in'( X, Z, Y ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Z ), T, 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), Y ), T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.96/1.33 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.96/1.33 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.96/1.33 U, W ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), 'tc_prod'( Y, Y ) ), X ), Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.96/1.33 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( Y, Z ), T ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.33 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), Z ) ), ~( hBOOL( 'c_in'( X, Y, Z ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 'c_Set_Oinsert'( T, Z ), Y ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( X, hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), Z ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T ), Z ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), Y ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), T ), Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 X, Y, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), T ), Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 X, Y, Z ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP( 'c_Set_Oinsert'( X, Y
% 0.96/1.33 ), T ) ) ), hBOOL( 'c_in'( X, T, Y ) ), hBOOL( 'c_in'( X, Z, Y ) ), =( Z
% 0.96/1.33 , T ) ],
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), Z ), ~( hBOOL( 'c_in'( X, Z, Y
% 0.96/1.33 ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Otop'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ), X ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ), X ), Y ), Y ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X ), Z ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ), X ), Y ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ) ), X ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Y ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( 'c_lessequals'( U,
% 0.96/1.33 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.96/1.33 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( T, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), 'tc_fun'( Y, 'tc_bool' ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.96/1.33 U, X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oirrefl'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.33 , Y, T, T ), Z, 'tc_prod'( T, T ) ) ), =( X, Y ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ),
% 0.96/1.33 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X ), T ), X ), ~(
% 0.96/1.33 'c_lessequals'( Y, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( T, X ), Y ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.96/1.33 X ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X ), T ), Z, X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), T ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( T, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), X ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( 't_a', X ) ),
% 0.96/1.33 Z ), 'v_x' ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y
% 0.96/1.33 , 'v_x' ), X ), hAPP( Z, 'v_x' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.96/1.33 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.96/1.33 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.96/1.33 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.96/1.33 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.96/1.33 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.96/1.33 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.96/1.33 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ) ), Z ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), U ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Y, 'tc_bool' ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), 'tc_fun'( Y, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T
% 0.96/1.33 ) ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, T, Y, 'tc_fun'(
% 0.96/1.33 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z, T, Y, 'tc_fun'(
% 0.96/1.33 U, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.96/1.33 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( X, hAPP( 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, hAPP( 'c_Set_Oinsert'(
% 0.96/1.33 Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( Z, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), T ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), hAPP( 'c_HOL_Ominus__class_Ominus'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( X, T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( Z, 'tc_fun'( Y, 'tc_bool' ) ), T ) )
% 0.96/1.33 , T ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_lessequals'( T, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_lessequals'( U, T, X )
% 0.96/1.33 , ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.96/1.33 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, X ), Z ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( T, X ), U ) ) ), 'c_lessequals'( Z, Y, X )
% 0.96/1.33 , ~( 'c_lessequals'( U, T, X ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.96/1.33 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.96/1.33 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.96/1.33 'tc_bool' ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Set_Oinsert'( X, Y ), Z ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), T ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( Z, T, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( X, hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T ), Z, U ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Set_Oimage'( X, Y, Z, U ), 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.96/1.33 X, T, Z, U ) ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), Z ), T, Y, 'tc_fun'( U, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( T, X ), 'tc_fun'( U,
% 0.96/1.33 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Z,
% 0.96/1.33 T, Y, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( hAPP( 'c_Relation_OImage'( X, Y, Z ), T ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( U, Y, Z ), W ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.96/1.33 'c_lessequals'( T, W, 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.96/1.33 , U, 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.96/1.33 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.96/1.33 'c_lessequals'( Z, Y, X ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Oacyclic'( hAPP( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z
% 0.96/1.33 ), 'tc_prod'( Z, Z ) ), T ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z )
% 0.96/1.33 , 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Oacyclic'( hAPP( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ), T ), Z ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.33 ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( Y, 'tc_fun'( Z, 'tc_bool' )
% 0.96/1.33 ), T, 'tc_fun'( Z, 'tc_bool' ), 'tc_fun'( Z, 'tc_bool' ), X ), X,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Set_Oinsert'( X, Y ), Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hBOOL(
% 0.96/1.33 'c_in'( X, Z, Y ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ), Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.33 =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Set_Oinsert'( X, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ), Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_Set_Oinsert'( hAPP( X, Y ), Z ), 'c_Set_Oimage'( X, T, U,
% 0.96/1.33 Z ) ), 'c_Set_Oimage'( X, T, U, Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.96/1.33 , ~( 'c_lessequals'( 'c_Set_Oimage'( X, U, W, T ), Z, 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.96/1.33 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.96/1.33 Y, Z, X ) ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, X ), hAPP(
% 0.96/1.33 Z, U ), X ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.96/1.33 Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X,
% 0.96/1.33 Y, Z ), X, Z ) ), ~( hBOOL( 'c_in'( T, X, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.33 Y, Z ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( X, hAPP( Y, Z ), 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( Z, U, W ) ) ), ~( 'c_lessequals'( X,
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 X, Y, Z, 'tc_fun'( T, 'tc_bool' ) ), hAPP( Y, U ), 'tc_fun'( T, 'tc_bool'
% 0.96/1.33 ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( X, Y ),
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X, U, 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 T, X, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( hBOOL( 'c_in'( W, Y, Z ) )
% 0.96/1.33 ), =( X, U ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), 'tc_prod'( Y, Y ) ), X ), Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z
% 0.96/1.33 , T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, hAPP( 'c_Relation_OImage'( Z, T
% 0.96/1.33 , U ), X ), U ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y
% 0.96/1.33 , Z, T, U ), X, T ) ), ~( hBOOL( 'c_in'( Y, hAPP( 'c_Relation_OImage'( Z
% 0.96/1.33 , T, U ), X ), U ) ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( hAPP( 'c_Set_Oinsert'( Y, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), X ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( 'tc_prod'( Z,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( X
% 0.96/1.33 , 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( Y, 'tc_fun'( 'tc_prod'( Z,
% 0.96/1.33 Z ), 'tc_bool' ) ), T ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( X
% 0.96/1.33 , 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBK'( Z, X
% 0.96/1.33 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.96/1.33 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T
% 0.96/1.33 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( 'c_COMBB'( X, Y, Z, T, U ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( U, 'tc_bool' ) ), U, T ),
% 0.96/1.33 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( U, 'tc_bool' ) ), U, Z ), Z, T ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBK'(
% 0.96/1.33 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.96/1.33 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), T ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y
% 0.96/1.33 , 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ), X ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Set_Oimage'( X, Y, Z, T ), U, T, 'tc_fun'( W, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, 'c_COMBB'( U, X
% 0.96/1.33 , T, 'tc_fun'( W, 'tc_bool' ), Z ), Z, 'tc_fun'( W, 'tc_bool' ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, 'c_COMBB'(
% 0.96/1.33 Y, Z, T, 'tc_fun'( U, 'tc_bool' ), W ), W, 'tc_fun'( U, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( 'c_Set_Oimage'( Z
% 0.96/1.33 , X, W, T ), Y, T, 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__1__1'( Y, X,
% 0.96/1.33 Z, T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 0.96/1.33 , =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X, Z, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ ~( =( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__2__1'( Y, X,
% 0.96/1.33 Z, T ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ) ) )
% 0.96/1.33 , =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, X, Z,
% 0.96/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 Y, 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ), hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Z ), Z ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.96/1.33 ) ), ~( hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.33 , 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z )
% 0.96/1.33 , 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, T ), T ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( Z, T ), T ) ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.33 , X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ) ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), Z ), Y ), ~( 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), Z ), Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), Z ), Y ), ~( 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.96/1.33 , X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ) ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), Z ), Y ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 'c_Relation_ODomain'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 'c_Relation_ORange'( Z, Y, Y ) ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( X, Y ) ), 'c_Wellfounded_Owf'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), Z ), Y ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), 'c_Relation_Orel__comp'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.96/1.33 ), 'c_Relation_OId'( Y ) ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.96/1.33 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Relation_Oconverse'( X
% 0.96/1.33 , Y, Y ) ), Y ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ), ~( 'c_Relation_Otrans'(
% 0.96/1.33 X, Y ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Y, Y ), Z
% 0.96/1.33 ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ), ~(
% 0.96/1.33 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.96/1.33 'tc_bool' ) ), 'c_Relation_OId'( Z ) ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, hAPP( 'c_HOL_Ominus__class_Ominus'( Y,
% 0.96/1.33 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), 'c_Relation_OId'( Z ) ), Z )
% 0.96/1.33 , ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.96/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.96/1.33 , =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.96/1.33 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T
% 0.96/1.33 , U ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.96/1.33 , U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.96/1.33 , U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.96/1.33 U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.96/1.33 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.96/1.33 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.96/1.33 ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.96/1.33 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.96/1.33 T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.96/1.33 T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T
% 0.96/1.33 ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.96/1.33 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.96/1.33 ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'(
% 0.96/1.33 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Oacyclic'( Z, Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.96/1.33 Y, T, T ), Z, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T
% 0.96/1.33 ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.96/1.33 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ),
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.96/1.33 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.96/1.33 , Z, T, T ), X, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z,
% 0.96/1.33 T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.96/1.33 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Z
% 0.96/1.33 , T, T ), Y, 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T,
% 0.96/1.33 T ), 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.96/1.33 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.33 , 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.96/1.33 ), 'tc_prod'( 't_a', 't_a' ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Y, U, Z ) ) ), ~( 'c_lessequals'( hAPP(
% 0.96/1.33 'c_Relation_OImage'( T, Z, Z ), hAPP( 'c_Set_Oinsert'( Y, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( T, Z, Z ), hAPP( 'c_Set_Oinsert'( X, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( U, hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.96/1.33 hAPP( 'c_Relation_OImage'( T, Z, Z ), hAPP( 'c_Set_Oinsert'( X, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ), hAPP( 'c_Relation_OImage'( T, Z, Z ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ) ), Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, Z ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__1__1'( Y, Z,
% 0.96/1.33 T, X ), Y, T ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 0.96/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__2__1'( X, Y,
% 0.96/1.33 Z, T ), X, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.96/1.33 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 X, Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W
% 0.96/1.33 ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.96/1.33 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 Y, U, W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.96/1.33 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ), hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z
% 0.96/1.33 , 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), T ) ) ],
% 0.96/1.33 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.33 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 ~( 'c_lessequals'( X, hAPP( 'c_Relation_OImage'( Z, Y, Y ), X ), 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.96/1.33 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z
% 0.96/1.33 ), X, Z ) ), ~( hBOOL( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.96/1.33 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.96/1.33 , ~( hBOOL( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.96/1.33 ), hBOOL( 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W
% 0.96/1.33 , Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'tc_fun'( 'tc_prod'( Y,
% 0.96/1.33 Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.96/1.33 'tc_bool' ) ), 'c_Relation_OId'( Y ) ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ), hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.96/1.33 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Relation_Orel__comp'(
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.96/1.33 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), 'c_Relation_OId'( X ) ), X )
% 0.96/1.33 ],
% 0.96/1.33 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.96/1.33 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.96/1.33 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.96/1.33 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ), hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( T, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 ), U ) ), hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Z ), T ), 'tc_fun'( Z, 'tc_bool' ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Z ), U ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( hAPP( 'c_HOL_Ominus__class_Ominus'( X, 'tc_fun'(
% 0.96/1.33 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Relation_OId'( Y ) ), Y ), ~(
% 0.96/1.33 'c_Relation_Oantisym'( X, Y ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.96/1.33 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.96/1.33 Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( U, Y, Z ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( hAPP( hAPP( X, Y ), Z ), 'c_Set_Oimage'( 'c_split'( X,
% 0.96/1.33 T, U, W ), V0, 'tc_prod'( T, U ), W ), W ) ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 Y, Z, T, U ), V0, 'tc_prod'( T, U ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'(
% 0.96/1.33 X, Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.33 , hAPP( 'c_Relation_OImage'( Z, T, U ), X ), U ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.96/1.33 , U ), Z, 'tc_prod'( T, U ) ) ), ~( hBOOL( 'c_in'( Y, hAPP(
% 0.96/1.33 'c_Relation_OImage'( Z, T, U ), X ), U ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.96/1.33 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T
% 0.96/1.33 ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.96/1.33 , Y, 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y
% 0.96/1.33 , Z, T ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.96/1.33 , Z ), X, 'tc_prod'( Z, Z ) ) ), hBOOL( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.96/1.33 X, Z ), Z ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.96/1.33 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.96/1.33 ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.96/1.33 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.96/1.33 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.96/1.33 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'( Z, 'c_Wellfounded_Oacc'( T,
% 0.96/1.33 't_a' ), 't_a' ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.96/1.33 'tc_prod'( 't_a', 't_a' ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.96/1.33 , U ), U, U ), T, 'tc_prod'( U, U ) ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Wellfounded_Oacc'( T, U ), U ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( hAPP( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ), T ), Z ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( hAPP( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ), T ), Z ), hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'(
% 0.96/1.33 X, Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.96/1.33 'c_Relation_ORange'( Y, T, Z ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.96/1.33 ), Y, 'tc_prod'( T, Z ) ) ), ~( hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y
% 0.96/1.33 , T, Z ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.96/1.33 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) )
% 0.96/1.33 , ~( hBOOL( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.96/1.33 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Relation_OImage'( Y, Z, Z ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ), Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( T, Y, Z ) ) ],
% 0.96/1.33 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.96/1.33 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Relation_OImage'( Y, Z, T ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( U, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, T ), Y,
% 0.96/1.33 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Y, hAPP( 'c_Relation_OImage'( U, Z, T ), hAPP(
% 0.96/1.33 'c_Set_Oinsert'( X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ), T ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( Z, Y )
% 0.96/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( T, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( Z, Y )
% 0.96/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( T, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XtransI__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, U, W, 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 T, 'c_COMBB'( 'c_Relation_OImage'( X, Y, Z ), U, 'tc_fun'( Y, 'tc_bool' )
% 0.96/1.33 , 'tc_fun'( Z, 'tc_bool' ), W ), W, 'tc_fun'( Z, 'tc_bool' ) ) ), =( T,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_Relation_Osingle__valued'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( Z,
% 0.96/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( T, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( T, U, Y ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( Z,
% 0.96/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( T, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( U, X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z, T,
% 0.96/1.33 Y, Y ), X, 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( T, U, Y ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Z, U, Y ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( Z, Y )
% 0.96/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( T, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( Z, U, Y ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( U, X, Y ) ) ],
% 0.96/1.33 [ ~( =( hAPP( 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( Z,
% 0.96/1.33 Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), hAPP(
% 0.96/1.33 'c_Relation_OImage'( X, Y, Y ), hAPP( 'c_Set_Oinsert'( T, Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( T, U, Y ) ) ), ~( hBOOL( 'c_in'( Z, U, Y ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Oequiv'( U, X, Y ) ), hBOOL( 'c_in'( 'c_Pair'( Z, T,
% 0.96/1.33 Y, Y ), X, 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ), =( X, Y ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'(
% 0.96/1.33 Z, Z ) ) ), ~( hBOOL( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~(
% 0.96/1.33 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.96/1.33 'c_Relation_Otrans'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.96/1.33 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.96/1.33 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y, X ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.96/1.33 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ), ~( hBOOL( 'c_in'(
% 0.96/1.33 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( T, 'c_Wellfounded_Oacc'( Y,
% 0.96/1.33 Z ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ) ), hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), hBOOL(
% 0.96/1.33 'c_in'( X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Oirrefl'( X, Y ), ~(
% 0.96/1.33 'c_Order__Relation_Ostrict__linear__order__on'( Z, X, Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X,
% 0.96/1.33 Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, Z, Z ), Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.96/1.33 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 'c_Relation_Oconverse'( T, Z, Z ), Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oconverse'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), Z, Z ), 'tc_prod'( Z, Z ) ) ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.96/1.33 X, U ), W ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.96/1.33 X, U ), W ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.96/1.33 , T ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.33 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.33 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 0.96/1.33 , ~( hBOOL( 'c_in'( X,
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( T, hAPP( U, X ), W ) )
% 0.96/1.33 , ~( hBOOL( 'c_in'( T,
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, U, Z, 'tc_fun'(
% 0.96/1.33 W, 'tc_bool' ) ), W ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) )
% 0.96/1.33 , ~( hBOOL( 'c_in'( X,
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( U, Y, W, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), T ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 0.96/1.33 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( hAPP( hAPP( T, X ), U ) ), ~(
% 0.96/1.33 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, T
% 0.96/1.33 , Z, 'tc_fun'( W, 'tc_bool' ) ), U ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( T, X
% 0.96/1.33 , U, 'tc_fun'( W, 'tc_bool' ) ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 0.96/1.33 Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.33 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.96/1.33 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.33 ) ), Z, X ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2'( X, Y ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.96/1.33 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.96/1.33 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.96/1.33 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.96/1.33 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( 'c_Relation_OId'( X ), X, X ), Y ), Y )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_OId'( X ), X, X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.96/1.33 [ ~( =( 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__1'( X, Y, Z )
% 0.96/1.33 , 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__2'( X, Y, Z ) ) ),
% 0.96/1.33 'c_Relation_Ototal__on'( X, Y, Z ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.96/1.33 Y ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.96/1.33 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.96/1.33 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.96/1.33 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_OId'( X ), X, X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.96/1.33 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.96/1.33 'c_Relation_Osym'( X, Z ) ) ],
% 0.96/1.33 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.96/1.33 'c_Relation_OId'( X ) ) ],
% 0.96/1.33 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Relation_OImage'( X, Y, Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.96/1.33 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.96/1.33 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.96/1.33 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.33 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.96/1.33 , Y ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.96/1.33 'c_Relation_OId__on'( X, Y ) ) ],
% 0.96/1.33 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.96/1.33 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.96/1.33 , Y ), X, Y ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.33 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.96/1.33 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.96/1.33 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.33 X ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( Y, X ), X ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.96/1.33 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.96/1.33 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.96/1.33 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.96/1.33 Y, Z ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y
% 0.96/1.33 ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.96/1.33 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.96/1.33 Y, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Orefl__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Relation_OId'( X ), X ) ],
% 0.96/1.33 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.96/1.33 ],
% 0.96/1.33 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ) ) ],
% 0.96/1.33 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.96/1.33 'c_in'( Z, W, V0 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0
% 0.96/1.33 , T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.96/1.33 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1'( X, Z ) ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.96/1.33 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.96/1.33 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.96/1.33 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.33 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.96/1.33 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.96/1.33 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XtransI__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__XtransI__1__2'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Otrans'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__2'( X, Y, Z ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__1'( X, Y, Z ), Z, Z )
% 0.96/1.33 , Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__1'( X, Y, Z ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__2'( X, Y, Z ), Z, Z )
% 0.96/1.33 , Y, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_split'( Y, Z, T, 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.33 , 'c_Pair'( W, V0, Z, T ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP( Y, W
% 0.96/1.33 ), V0 ), U ) ) ) ],
% 0.96/1.33 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ) ), ~(
% 0.96/1.33 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T,
% 0.96/1.33 U ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U )
% 0.96/1.33 ) ) ), ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ 'c_FunDef_Oin__rel'( X, Y, Z, T, U ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z
% 0.96/1.33 , T, U ), X, 'tc_prod'( T, U ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.96/1.33 'c_FunDef_Oin__rel'( U, X, Y, Z, T ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.96/1.33 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.96/1.33 'tc_prod'( T, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Oconverse'( U, T, Z
% 0.96/1.33 ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), U,
% 0.96/1.33 'tc_prod'( T, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( Y, X, T, Z ), 'c_Relation_Oconverse'( U, Z, T )
% 0.96/1.33 , 'tc_prod'( T, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 T, 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.96/1.33 , 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.96/1.33 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.96/1.33 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.96/1.33 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z,
% 0.96/1.33 Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z )
% 0.96/1.33 ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.96/1.33 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, T,
% 0.96/1.33 T ), U, 'tc_prod'( T, T ) ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X
% 0.96/1.33 , T, W ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.96/1.33 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.96/1.33 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V0
% 0.96/1.33 , Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ) ],
% 0.96/1.33 [ =( X, Y ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'(
% 0.96/1.33 Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.96/1.33 ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U
% 0.96/1.33 , W, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( hAPP( U, X )
% 0.96/1.33 , hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.96/1.33 'tc_prod'( T, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.96/1.33 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Relation_Osym'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Relation_Osym'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W,
% 0.96/1.33 Z, V0, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( V1, Y, V0
% 0.96/1.33 , T ), W, 'tc_prod'( V0, T ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, V1, Z
% 0.96/1.33 , V0 ), U, 'tc_prod'( Z, V0 ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 T, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T,
% 0.96/1.33 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'(
% 0.96/1.33 T, Z ), 'tc_prod'( Z, Z ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.96/1.33 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T
% 0.96/1.33 , Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Set__XUNIV__witness__1__1'( X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__1'( X, Y ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( Y, Z, T, 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Set__Xbex__UNIV__1__2'( X, Y ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.96/1.33 hBOOL( hAPP( X, Z ) ) ) ],
% 0.96/1.33 [ =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 ~( hBOOL( 'c_in'( 'c_ATP__Linkup_Osko__Set__XUNIV__eq__I__1__1'( Y, X ),
% 0.96/1.33 Y, X ) ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( X, 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__2'( X, Z ) ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.96/1.33 ],
% 0.96/1.33 [ hBOOL( hAPP( X, Y ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Set__Xball__UNIV__1__1'( X, Z ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.96/1.33 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI'( X, Y, Z,
% 0.96/1.33 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.96/1.33 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.96/1.33 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.33 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.96/1.33 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Otop__class_Otop'( X ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.96/1.33 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( X, T ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.96/1.33 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( Y, T ), =( X, T ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.96/1.33 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), =( Y, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'c_Arrow__Order__Mirabelle_Omktop'( Z, T ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ =( X, Y ), =( Y, X ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.96/1.33 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, Y ), =( Y, T ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.96/1.33 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y
% 0.96/1.33 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' )
% 0.96/1.33 , Z, 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ), =( X, T ), =( Y, T ) ],
% 0.96/1.33 [ =( X, Y ), =( X, Y ), hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ), =( X, T ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y,
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.33 'c_Arrow__Order__Mirabelle_Omkbot'( Z, T ), 'tc_prod'(
% 0.96/1.33 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.33 ) ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__1'( X, Y, Z ), X, Z )
% 0.96/1.33 ) ],
% 0.96/1.33 [ 'c_Relation_Ototal__on'( X, Y, Z ), hBOOL( 'c_in'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xtotal__on__def__1__2'( X, Y, Z ), X, Z )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.96/1.33 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W
% 0.96/1.33 , Z, T ), 'tc_prod'( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, hAPP( W, X ), T ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( X, U, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Relation_OImage'( Y, Z, T ), U ), T ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( 'c_Pair'( W, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( W, U, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( 'c_Relation_OImage'( Y, Z, T ), U ), T ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( 'c_Pair'( W, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( W, U, Z ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.96/1.33 'tc_prod'( Y, Y ) ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, hAPP( Y, Z ), T ) ), ~( hBOOL( 'c_in'( 'c_Pair'( Z,
% 0.96/1.33 X, U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) )
% 0.96/1.33 ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.96/1.33 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( T, X, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.96/1.33 U, 'tc_prod'( Z, Z ) ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, T, Y ) ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ 'c_Relation_Oirrefl'( X, Y ), hBOOL( 'c_in'( 'c_Pair'(
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ),
% 0.96/1.33 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1'( X, Y ), Y, Y ), X,
% 0.96/1.33 'tc_prod'( Y, Y ) ) ) ],
% 0.96/1.33 [ 'c_Order__Relation_Ostrict__linear__order__on'( X, Y, Z ), ~(
% 0.96/1.33 'c_Relation_Ototal__on'( X, Y, Z ) ), ~( 'c_Relation_Oirrefl'( Y, Z ) ),
% 0.96/1.33 ~( 'c_Relation_Otrans'( Y, Z ) ) ],
% 0.96/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.96/1.33 ,
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Relation_Otrans'( T, Z ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ), ~(
% 0.96/1.33 'c_Relation_Otrans'( T, Z ) ) ],
% 0.96/1.33 [ ~( hBOOL( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ) ),
% 0.96/1.33 ~( 'c_Relation_Oirrefl'( Z, Y ) ) ],
% 0.96/1.33 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.33 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y ) ) ],
% 0.96/1.33 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), hBOOL(
% 0.96/1.33 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), =( Y, X ), ~(
% 0.96/1.34 hBOOL( 'c_in'( X, U, Z ) ) ), ~( hBOOL( 'c_in'( Y, U, Z ) ) ), ~(
% 0.96/1.34 'c_Relation_Ototal__on'( U, T, Z ) ) ],
% 0.96/1.34 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.96/1.34 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.96/1.34 [ 'c_Relation_Otrans'( hAPP( 'v_P', X ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.96/1.34 [ 'c_Relation_Oirrefl'( hAPP( 'v_P', X ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.96/1.34 [ 'c_Relation_Ototal__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( 'v_P', X ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ],
% 0.96/1.34 [ hBOOL( 'c_in'( 'c_Pair'( 'v_a', 'v_b',
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.34 'v_F'( 'v_P' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.96/1.34 [ ~( hBOOL( 'c_in'( 'c_Pair'( 'v_a', 'v_b',
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.96/1.34 hAPP( 'v_P', 'v_i' ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ) ],
% 0.96/1.34 [ 'c_Relation_Otrans'( 'v_F'( 'v_P' ), 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.96/1.34 ), ~( 'c_Relation_Ototal__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( 'v_P', 'v_x' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_Relation_Oirrefl'( hAPP(
% 0.96/1.34 'v_P', 'v_x' ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~(
% 0.96/1.34 'c_Relation_Otrans'( hAPP( 'v_P', 'v_x' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.96/1.34 [ 'c_Relation_Oirrefl'( 'v_F'( 'v_P' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), ~( 'c_Relation_Ototal__on'(
% 0.96/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( 'v_P', 'v_x' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_Relation_Oirrefl'( hAPP(
% 0.96/1.34 'v_P', 'v_x' ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~(
% 0.96/1.34 'c_Relation_Otrans'( hAPP( 'v_P', 'v_x' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.96/1.34 [ 'c_Relation_Ototal__on'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), 'v_F'( 'v_P' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), ~( 'c_Relation_Ototal__on'(
% 0.96/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( 'v_P', 'v_x' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_Relation_Oirrefl'( hAPP(
% 0.96/1.34 'v_P', 'v_x' ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~(
% 0.96/1.34 'c_Relation_Otrans'( hAPP( 'v_P', 'v_x' ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.96/1.34 [ hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_F'( Z ), 'tc_prod'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.34 ), ~( hBOOL( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_i' ), 'tc_prod'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.96/1.34 ) ), =( X, Y ), ~( 'c_Relation_Ototal__on'(
% 0.96/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_bool' ) ), hAPP( Z, 'v_Pa'( Z ) )
% 0.96/1.34 , 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_Relation_Oirrefl'( hAPP( Z
% 0.96/1.34 , 'v_Pa'( Z ) ), 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~(
% 0.96/1.34 'c_Relation_Otrans'( hAPP( Z, 'v_Pa'( Z ) ),
% 0.96/1.34 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.96/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.96/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.96/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.34 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.34 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.34 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.96/1.34 Y ) ) ],
% 0.96/1.34 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.96/1.34 Y ) ) ],
% 0.96/1.34 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.96/1.34 ,
% 0.96/1.34 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.96/1.34 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.96/1.34 [ 'c_fequal'( X, X, Y ) ],
% 0.96/1.34 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.96/1.34 ] .
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 percentage equality = 0.248673, percentage horn = 0.885449
% 0.96/1.34 This is a problem with some equality
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34
% 0.96/1.34 Options Used:
% 0.96/1.34
% 0.96/1.34 useres = 1
% 0.96/1.34 useparamod = 1
% 0.96/1.34 useeqrefl = 1
% 0.96/1.34 useeqfact = 1
% 0.96/1.34 usefactor = 1
% 0.96/1.34 usesimpsplitting = 0
% 0.96/1.34 usesimpdemod = 5
% 0.96/1.34 usesimpres = 3
% 0.96/1.34
% 0.96/1.34 resimpinuse = 1000
% 0.96/1.34 resimpclauses = 20000
% 0.96/1.34 substype = eqrewr
% 0.96/1.34 backwardsubs = 1
% 0.96/1.34 selectoldest = 5
% 0.96/1.34
% 0.96/1.34 litorderings [0] = split
% 0.96/1.34 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.34
% 0.96/1.34 termordering = kbo
% 0.96/1.34
% 0.96/1.34 litapriori = 0
% 0.96/1.34 termapriori = 1
% 0.96/1.34 litaposteriori = 0
% 0.96/1.34 termaposteriori = 0
% 0.96/1.34 demodaposteriori = 0
% 0.96/1.34 ordereqreflfact = 0
% 0.96/1.34
% 0.96/1.34 litselect = negord
% 0.96/1.34
% 0.96/1.34 maxweight = 15
% 0.96/1.34 maxdepth = 30000
% 0.96/1.34 maxlength = 115
% 0.96/1.34 maxnrvars = 195
% 0.96/1.34 excuselevel = 1
% 0.96/1.34 increasemaxweight = 1
% 0.96/1.34
% 0.96/1.34 maxselected = 10000000
% 0.96/1.34 maxnrclauses = 10000000
% 0.96/1.34
% 0.96/1.34 showgenerated = 0
% 0.96/1.34 showkept = 0
% 0.96/1.34 showselected = 0
% 0.96/1.34 showdeleted = 0
% 0.96/1.34 showresimp = 1
% 0.96/1.34 showstatus = 2000
% 0.96/1.34
% 0.96/1.34 prologoutput = 1
% 0.96/1.34 nrgoals = 5000000
% 0.96/1.34 totalproof = 1
% 0.96/1.34
% 0.96/1.34 Symbols occurring in the translation:
% 0.96/1.34
% 0.96/1.34 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.34 . [1, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.96/1.34 ! [4, 1] (w:0, o:79, a:1, s:1, b:0),
% 0.96/1.34 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.34 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.34 'class_Lattices_Obounded__lattice' [40, 1] (w:1, o:84, a:1, s:1, b:0)
% 0.96/1.34 ,
% 0.96/1.34 'c_Lattices_Olower__semilattice__class_Oinf' [42, 2] (w:1, o:131, a:1
% 0.96/1.34 , s:1, b:0),
% 0.96/1.34 'c_Orderings_Obot__class_Obot' [43, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.96/1.34 hAPP [44, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.96/1.34 'c_Transitive__Closure_Ortrancl' [46, 2] (w:1, o:139, a:1, s:1, b:0)
% 0.96/1.34 ,
% 0.96/1.34 'tc_prod' [48, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.96/1.34 'tc_bool' [49, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.96/1.34 'tc_fun' [50, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.96/1.34 'c_lessequals' [51, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.96/1.34 'c_Set_Oinsert' [55, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.96/1.34 'c_COMBB' [57, 5] (w:1, o:216, a:1, s:1, b:0),
% 0.96/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OINFI' [58, 4] (w:1
% 0.96/1.34 , o:198, a:1, s:1, b:0),
% 0.96/1.34 'c_in' [60, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.96/1.34 hBOOL [61, 1] (w:1, o:86, a:1, s:1, b:0),
% 0.96/1.34 'c_Lattices_Oupper__semilattice__class_Osup' [62, 2] (w:1, o:142, a:1
% 0.96/1.34 , s:1, b:0),
% 0.96/1.34 'c_Relation_Osym' [63, 2] (w:1, o:133, a:1, s:1, b:0),
% 0.96/1.34 'c_Pair' [65, 4] (w:1, o:199, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_ODomain' [66, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.96/1.34 'c_HOL_Ominus__class_Ominus' [68, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.96/1.34 'class_Complete__Lattice_Ocomplete__lattice' [69, 1] (w:1, o:87, a:1
% 0.96/1.34 , s:1, b:0),
% 0.96/1.34 'c_Complete__Lattice_OSup__class_OSup' [70, 2] (w:1, o:144, a:1, s:1
% 0.96/1.34 , b:0),
% 0.96/1.34 'class_Orderings_Obot' [71, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_OImage' [75, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.96/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [78, 3] (w:1, o:
% 0.96/1.34 175, a:1, s:1, b:0),
% 0.96/1.34 'c_Wellfounded_Owf' [79, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_ORange' [80, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.96/1.34 'c_COMBK' [81, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.96/1.34 'c_Product__Type_OSigma' [82, 4] (w:1, o:200, a:1, s:1, b:0),
% 0.96/1.34 'class_Lattices_Olattice' [83, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.96/1.34 't_a' [85, 0] (w:1, o:44, a:1, s:1, b:0),
% 0.96/1.34 'v_x' [87, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.96/1.34 'class_Lattices_Odistrib__lattice' [88, 1] (w:1, o:90, a:1, s:1, b:0)
% 0.96/1.34 ,
% 0.96/1.34 'c_Relation_OId__on' [90, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_Orefl__on' [91, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.96/1.34 'class_Lattices_Oupper__semilattice' [92, 1] (w:1, o:91, a:1, s:1, b:
% 0.96/1.34 0),
% 0.96/1.34 'c_Relation_Orel__comp' [95, 5] (w:1, o:217, a:1, s:1, b:0),
% 0.96/1.34 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [97, 3] (w:1, o:179, a:
% 0.96/1.34 1, s:1, b:0),
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% 0.96/1.34 'class_Lattices_Olower__semilattice' [104, 1] (w:1, o:93, a:1, s:1
% 0.96/1.34 , b:0),
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% 0.96/1.34 180, a:1, s:1, b:0),
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% 0.96/1.34 'c_Relation_Oconverse' [112, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.96/1.34 'class_Orderings_Oorder' [113, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.96/1.34 'c_Transitive__Closure_Otrancl' [115, 2] (w:1, o:147, a:1, s:1, b:0)
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% 0.96/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [121, 3]
% 0.96/1.34 (w:1, o:182, a:1, s:1, b:0),
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% 0.96/1.34 'c_Equiv__Relations_Oequiv' [128, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_OId' [129, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_Oirrefl' [130, 2] (w:1, o:135, a:1, s:1, b:0),
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% 0.96/1.34 (w:1, o:203, a:1, s:1, b:0),
% 0.96/1.34 'class_Orderings_Opreorder' [132, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_Oantisym' [134, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.96/1.34 'c_Relation_Osingle__valued' [135, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.96/1.34 'class_OrderedGroup_Opordered__ab__group__add' [137, 1] (w:1, o:101
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% 0.96/1.34 'class_Orderings_Olinorder' [139, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.96/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [141, 3]
% 0.96/1.34 (w:1, o:185, a:1, s:1, b:0),
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% 0.96/1.34 220, a:1, s:1, b:0),
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% 0.96/1.34 ] (w:1, o:204, a:1, s:1, b:0),
% 0.96/1.34 'c_ATP__Linkup_Osko__Complete__Lattice__XINTER__UNIV__conv__2__1' [147, 4
% 0.96/1.34 ] (w:1, o:205, a:1, s:1, b:0),
% 0.96/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [148, 3] (w:1
% 0.96/1.34 , o:187, a:1, s:1, b:0),
% 0.96/1.34 'v_sko__Wellfounded__Xacc__Xinducts__1' [149, 2] (w:1, o:149, a:1, s:
% 0.96/1.34 1, b:0),
% 0.96/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [150, 3]
% 0.96/1.34 (w:1, o:188, a:1, s:1, b:0),
% 0.96/1.34 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [151, 3] (w:
% 0.96/1.34 1, o:189, a:1, s:1, b:0),
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% 5.69/6.13 , o:162, a:1, s:1, b:0),
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% 5.69/6.13 't_b' [171, 0] (w:1, o:66, a:1, s:1, b:0),
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% 5.69/6.13 ,
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% 5.69/6.13 ,
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% 5.69/6.13 ,
% 5.69/6.13 'c_Arrow__Order__Mirabelle_Omktop' [209, 2] (w:1, o:169, a:1, s:1, b:
% 5.69/6.13 0),
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% 5.69/6.13 0),
% 5.69/6.13 'c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1' [211, 2] (w:1, o:
% 5.69/6.13 154, a:1, s:1, b:0),
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% 5.69/6.13 'v_a' [215, 0] (w:1, o:72, a:1, s:1, b:0),
% 5.69/6.13 'v_b' [216, 0] (w:1, o:73, a:1, s:1, b:0),
% 20.31/20.68 'v_F' [217, 1] (w:1, o:104, a:1, s:1, b:0),
% 20.31/20.68 'v_i' [218, 0] (w:1, o:74, a:1, s:1, b:0),
% 20.31/20.68 'v_Pa' [219, 1] (w:1, o:105, a:1, s:1, b:0),
% 20.31/20.68 'c_fequal' [222, 3] (w:1, o:197, a:1, s:1, b:0).
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Starting Search:
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 10281
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68 Resimplifying clauses:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Kept: 25506
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% 20.31/20.68
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Kept: 27852
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% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
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% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
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% 20.31/20.68 Kept: 33972
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% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 168236
% 20.31/20.68 Kept: 36150
% 20.31/20.68 Inuse: 907
% 20.31/20.68 Deleted: 719
% 20.31/20.68 Deletedinuse: 38
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 178401
% 20.31/20.68 Kept: 38907
% 20.31/20.68 Inuse: 932
% 20.31/20.68 Deleted: 720
% 20.31/20.68 Deletedinuse: 39
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 195348
% 20.31/20.68 Kept: 41463
% 20.31/20.68 Inuse: 967
% 20.31/20.68 Deleted: 720
% 20.31/20.68 Deletedinuse: 39
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying clauses:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 209897
% 20.31/20.68 Kept: 44324
% 20.31/20.68 Inuse: 992
% 20.31/20.68 Deleted: 988
% 20.31/20.68 Deletedinuse: 41
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 230564
% 20.31/20.68 Kept: 47748
% 20.31/20.68 Inuse: 1027
% 20.31/20.68 Deleted: 988
% 20.31/20.68 Deletedinuse: 41
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 242995
% 20.31/20.68 Kept: 50940
% 20.31/20.68 Inuse: 1042
% 20.31/20.68 Deleted: 988
% 20.31/20.68 Deletedinuse: 41
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 252982
% 20.31/20.68 Kept: 53038
% 20.31/20.68 Inuse: 1087
% 20.31/20.68 Deleted: 988
% 20.31/20.68 Deletedinuse: 41
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68 Resimplifying inuse:
% 20.31/20.68 Done
% 20.31/20.68
% 20.31/20.68
% 20.31/20.68 Intermediate Status:
% 20.31/20.68 Generated: 276026
% 20.31/20.68 Kept: 57263
% 20.31/20.68 Inuse: 1127
% 20.31/20.68 Deleted: 989
% 20.31/20.68 Deletedinuse: 42
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 291938
% 99.76/100.19 Kept: 59440
% 99.76/100.19 Inuse: 1151
% 99.76/100.19 Deleted: 990
% 99.76/100.19 Deletedinuse: 42
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 297753
% 99.76/100.19 Kept: 61488
% 99.76/100.19 Inuse: 1159
% 99.76/100.19 Deleted: 1014
% 99.76/100.19 Deletedinuse: 44
% 99.76/100.19
% 99.76/100.19 Resimplifying clauses:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 307636
% 99.76/100.19 Kept: 63673
% 99.76/100.19 Inuse: 1194
% 99.76/100.19 Deleted: 1498
% 99.76/100.19 Deletedinuse: 44
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 328604
% 99.76/100.19 Kept: 67068
% 99.76/100.19 Inuse: 1229
% 99.76/100.19 Deleted: 1499
% 99.76/100.19 Deletedinuse: 45
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 340248
% 99.76/100.19 Kept: 69795
% 99.76/100.19 Inuse: 1254
% 99.76/100.19 Deleted: 1499
% 99.76/100.19 Deletedinuse: 45
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 350378
% 99.76/100.19 Kept: 71895
% 99.76/100.19 Inuse: 1269
% 99.76/100.19 Deleted: 1499
% 99.76/100.19 Deletedinuse: 45
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 359666
% 99.76/100.19 Kept: 73911
% 99.76/100.19 Inuse: 1300
% 99.76/100.19 Deleted: 1507
% 99.76/100.19 Deletedinuse: 53
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 366694
% 99.76/100.19 Kept: 75926
% 99.76/100.19 Inuse: 1319
% 99.76/100.19 Deleted: 1507
% 99.76/100.19 Deletedinuse: 53
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 379188
% 99.76/100.19 Kept: 78111
% 99.76/100.19 Inuse: 1359
% 99.76/100.19 Deleted: 1517
% 99.76/100.19 Deletedinuse: 63
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 401834
% 99.76/100.19 Kept: 82901
% 99.76/100.19 Inuse: 1382
% 99.76/100.19 Deleted: 1531
% 99.76/100.19 Deletedinuse: 65
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying clauses:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 412847
% 99.76/100.19 Kept: 85243
% 99.76/100.19 Inuse: 1412
% 99.76/100.19 Deleted: 2082
% 99.76/100.19 Deletedinuse: 65
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 420909
% 99.76/100.19 Kept: 87636
% 99.76/100.19 Inuse: 1437
% 99.76/100.19 Deleted: 2085
% 99.76/100.19 Deletedinuse: 68
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 430336
% 99.76/100.19 Kept: 89841
% 99.76/100.19 Inuse: 1462
% 99.76/100.19 Deleted: 2085
% 99.76/100.19 Deletedinuse: 68
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 439698
% 99.76/100.19 Kept: 91857
% 99.76/100.19 Inuse: 1472
% 99.76/100.19 Deleted: 2085
% 99.76/100.19 Deletedinuse: 68
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 455389
% 99.76/100.19 Kept: 94130
% 99.76/100.19 Inuse: 1512
% 99.76/100.19 Deleted: 2088
% 99.76/100.19 Deletedinuse: 71
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 466060
% 99.76/100.19 Kept: 96446
% 99.76/100.19 Inuse: 1542
% 99.76/100.19 Deleted: 2088
% 99.76/100.19 Deletedinuse: 71
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 474202
% 99.76/100.19 Kept: 98717
% 99.76/100.19 Inuse: 1567
% 99.76/100.19 Deleted: 2088
% 99.76/100.19 Deletedinuse: 71
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 484966
% 99.76/100.19 Kept: 101282
% 99.76/100.19 Inuse: 1587
% 99.76/100.19 Deleted: 2092
% 99.76/100.19 Deletedinuse: 75
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying clauses:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 495373
% 99.76/100.19 Kept: 103476
% 99.76/100.19 Inuse: 1607
% 99.76/100.19 Deleted: 2320
% 99.76/100.19 Deletedinuse: 75
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 504724
% 99.76/100.19 Kept: 105654
% 99.76/100.19 Inuse: 1632
% 99.76/100.19 Deleted: 2320
% 99.76/100.19 Deletedinuse: 75
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 523049
% 99.76/100.19 Kept: 107817
% 99.76/100.19 Inuse: 1647
% 99.76/100.19 Deleted: 2322
% 99.76/100.19 Deletedinuse: 77
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 535101
% 99.76/100.19 Kept: 110606
% 99.76/100.19 Inuse: 1661
% 99.76/100.19 Deleted: 2324
% 99.76/100.19 Deletedinuse: 78
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 554454
% 99.76/100.19 Kept: 115427
% 99.76/100.19 Inuse: 1671
% 99.76/100.19 Deleted: 2330
% 99.76/100.19 Deletedinuse: 84
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19 Resimplifying inuse:
% 99.76/100.19 Done
% 99.76/100.19
% 99.76/100.19
% 99.76/100.19 Intermediate Status:
% 99.76/100.19 Generated: 564602
% 99.76/100.19 Kept: 117440
% 99.76/100.19 Inuse: 1699
% 99.76/100.19 Deleted: 233Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------